Question

{ х²+у²=4 у=-х+2Дуже треба !!!!​

Answer 1

Відповідь:(2;0) (0;2)

Пояснення:

Answer 2

Solving the Equation

To solve the equation x² + y² = 4 and y = -x + 2, we can use the substitution method. First, we'll substitute the value of y from the second equation into the first equation.

Substituting y = -x + 2 into x² + y² = 4 gives us: x² + (-x + 2)² = 4

Expanding the equation: x² + (x² - 4x + 4) = 4 2x² - 4x = 0 2x(x - 2) = 0

So, we have two possible solutions: 1. 2x = 0 which gives x = 0 2. x - 2 = 0 which gives x = 2

Now, we can find the corresponding values of y using the equation y = -x + 2: 1. For x = 0, y = -0 + 2 which gives y = 2 2. For x = 2, y = -2 + 2 which gives y = 0

Therefore, the solutions to the system of equations are: - When x = 0, y = 2 - When x = 2, y = 0

These are the points where the two curves intersect.